Riemann, Topology, and Physics

Riemann, Topology, and Physics

Book Title :Riemann, Topology, and Physics

This significantly expanded second edition of Riemann, Topology and Physics combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics. The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Gttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics.
Special attention is paid in part one to new results on the RiemannHilbert problem and, in part two, to recent discoveries in field theory and condensed matter such as the quantum Hall effect, quasicrystals, membranes with nontrivial topology, 'fake' differential structures on 4dimensional Euclidean space, new invariants of knots and more. In his relatively short lifetime, this great mathematician made outstanding contributions to nearly all branches of mathematics today his name appears prominently throughout the literature. The references to the literature have been substantially updated in this new edition.

Author(s) :Michael I. Monastyrsky (1999)

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